Hölder regularity for parabolic De Giorgi classes in metric measure spaces

Mathias Masson; Juhana Siljander

doi:10.1007/s00229-012-0598-2

Hölder regularity for parabolic De Giorgi classes in metric measure spaces

Mathias Masson^*, Juhana Siljander

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

University of Helsinki

Research output: Contribution to journal › Article › Scientific › peer-review

21 Citations (Scopus)

Abstract

We give a proof for the Hölder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak (1, p)-Poincaré inequality and to satisfy the annular decay property.

Original language	English
Pages (from-to)	187-214
Number of pages	28
Journal	Manuscripta Mathematica
Volume	142
Issue number	1-2
DOIs	https://doi.org/10.1007/s00229-012-0598-2
Publication status	Published - 2013
MoE publication type	A1 Journal article-refereed

Keywords

31E05
Primary 35B65
Secondary 35K65

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10.1007/s00229-012-0598-2

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abstract = "We give a proof for the H{\"o}lder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak (1, p)-Poincar{\'e} inequality and to satisfy the annular decay property.",

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AU - Siljander, Juhana

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AB - We give a proof for the Hölder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak (1, p)-Poincaré inequality and to satisfy the annular decay property.

KW - 31E05

KW - Primary 35B65

KW - Secondary 35K65

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M3 - Article

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EP - 214

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

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ER -

Hölder regularity for parabolic De Giorgi classes in metric measure spaces

Abstract

Keywords

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